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New algorithm for spectral factorization and its application in signal processing
Ježek, Jan ; Hromčík, Martin ; Šebek, Michael
In this report a new algorithm is presented for the spectral factorization of a two-sided symmetric polynomial. The method is based on the discrete Fourier transform theory (DFT) and its relationship to the Z-transform. Involving DFT computational techniques, namely the famous fast Fourier transform routine (FFT), brings high computational efficiency and reliability. The power of the proposed procedure is employed in a particular practical signal processing application.
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Polynomial toolbox 2.5 and systems with parametric uncertainties
Šebek, Michael ; Hromčík, Martin ; Ježek, Jan
Polynomial Toolbox is a new MATLAB toolbox for systems, signals and control analysis and design using polynomial methods. See www.polyx.cz for more details. This paper demonstrates on several examples how the Polynomial Toolbox solves various robust control problems for plants with parametric uncertainties. Both classical problems such as one-parameter, interval or polytopic uncertainty are discussed as well as cases with complicated uncertainty structure.
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Study of the Behaviour of Microparticle in the Standing Wave Trap
Ježek, Jan ; Jonáš, Alexandr ; Zemánek, Pavel ; Liška, M.
The basic behavior of microparticles placed in the Gaussian standing wave is studied theoretically and experimentally in this article. It is shown that the optical force depends periodically on the particle size and, as the consequence, the equilibrium object position is alternating between the standing wave antinodes and nodes. For certain particle sizes, the particle confinement is disabled. Experimental confirmation of the theoretical results is briefly discussed.
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Analytical and preparative separations of biologically active peptides by capillary and free-flow electromigration methods
Kašička, Václav ; Prusík, Zdeněk ; Sázelová, Petra ; Koval, Dušan ; Barth, Tomislav ; Hlaváček, Jan ; Ježek, Jan ; Klasová, Lenka ; Slaninová, Jiřina ; Velek, Jiří ; Vepřek, Pavel
Combination of capillary and free-flow electromigration methods has been applied to qualitative and quantitative microanalysis and preparative purification of biologically active peptides.
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